Mathematics tools

I'm having some problems getting my question test to work the way I think they should using STACK.  In some cases it appears to evaluate things that I add in ans1 and it others it doesn't...  Everything appears to work fine in the Preview Question view however.

Some examples:

Question 1: from quick start authoring guide

n : rand(5)+3;
v : rand([x,s,t]) /* Set v randomly to x, s, or t */
p : rand([sin(n*v),cos(n*v)]);

Differentiate @p@ with respect to @v@.

Question tests:

Test 1
Test Input = diff(p,v)
Value Entered = +cos(4*t)*(1*4+0*t)
Displayed as = +cos(4*t)*(1*4+0*t)
Scored Correctly and everything looks good

Test 2
Test Input = integrate(p,v)
Value Entered = integrate(p,v)   <---- Why isn't this evaluated?
Displayed as = p*v  <---- Huh?
However this gets scored correctly with the feedback that "You appear to have integrated by mistake" like it should.

Test 3
Test Input = n*p
Value Entered = 4*sin(4*t)
Displayed as = 4*sin(4*t)
This gets scored correctly as incorrect and the test passes as it should.

Now to a different question...

Question 2: 

a:rand_with_prohib(-10,10,[0])
b:rand_with_prohib(-10,10,[0])

Factor @expand((x+a)*(x+b))@

Question Tests:

Test 1
Test Input = (x+a)*(x+b)
Value entered = (x+(-9))*(x+(-6))
Displayed as = (x-9)(x-6)
Passes AlgeEquiv Test and FacForm Test and graded correctly

Test 2
Test Input = expand((x+a)*(x+b))
Value entered = (x+(-9))*(x+(-6))  <----- Why is this not expanded?
Displayed as = (x-9)(x-6)
Passes AlgEquiv Test and FacForm test but this test was designed so that it would fail the FacForm Test...  So we made Test 3...

Test 3
Test Input = x^2+(a+b)*x+(a*b)
Value entered = x^2+(-9+(-6))*x+(-9)*(-6)
Displayed as = x^2 + (-9-6)x-9(-6)
Passes AlgEquiv Test and Fails FacForm test as it should and the test passes.

Now that I've typed all this out, for future reference, if I export a STACK question, say as Moodle XML, does it export the deployed questions and question tests also?